Hilbert-Schmidt composition-differentiation operators on the unit ball

被引：1
|
作者：
Abkar, Ali [1 ]
机构：
[1] Imam Khomeini Int Univ, Dept Pure Math, Fac Sci, Qazvin 34149, Iran
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2024年 / 14卷 / 01期
关键词：
Composition operator; Composition-differentiation operator; Radial derivative; Hilbert-Schmidt operator; Bergman space; Hardy space;
D O I：
10.1007/s13324-023-00865-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use the notion of radial differential operator of order t > 0 to introduce the weighted composition-differentiation operator E-psi, phi(t)(f) = psi <middle dot> (R-t f) o phi on the Hardy and Bergman spaces of the unit ball and the polydisk in C-n. We obtain necessary and sufficient conditions on the functions phi and psi to ensure that the operator E(psi,phi)(t)is Hilbert-Schmidt.
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页数：16
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